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# Precalculus: Mathematics for Calculus 6th Edition - Solutions by Chapter

## Full solutions for Precalculus: Mathematics for Calculus | 6th Edition

ISBN: 9780840068071

Precalculus: Mathematics for Calculus | 6th Edition - Solutions by Chapter

Solutions by Chapter
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##### ISBN: 9780840068071

This expansive textbook survival guide covers the following chapters: 13. Precalculus: Mathematics for Calculus was written by and is associated to the ISBN: 9780840068071. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus, edition: 6. Since problems from 13 chapters in Precalculus: Mathematics for Calculus have been answered, more than 5279 students have viewed full step-by-step answer. The full step-by-step solution to problem in Precalculus: Mathematics for Calculus were answered by , our top Calculus solution expert on 11/23/17, 05:03AM.

Key Calculus Terms and definitions covered in this textbook
• Inverse cosecant function

The function y = csc-1 x

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Rational numbers

Numbers that can be written as a/b, where a and b are integers, and b ? 0.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Sample space

Set of all possible outcomes of an experiment.

• Scalar

A real number.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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